Superdiffusion in the periodic Lorentz gas

Research output: Contribution to journalArticle (Academic Journal)peer-review

9 Citations (Scopus)
283 Downloads (Pure)


We prove a superdiffusive central limit theorem for the displacement of a test particle in the periodic Lorentz gas in the limit of large times t and low scatterer densities (Boltzmann–Grad limit). The normalization factor is √tlogt, where t is measured in units of the mean collision time. This result holds in any dimension and for a general class of finite-range scattering potentials. We also establish the corresponding invariance principle, i.e., the weak convergence of the particle dynamics to Brownian motion.
Original languageEnglish
Pages (from-to)933-981
Number of pages49
JournalCommunications in Mathematical Physics
Issue number3
Early online date18 Feb 2016
Publication statusPublished - Nov 2016


Dive into the research topics of 'Superdiffusion in the periodic Lorentz gas'. Together they form a unique fingerprint.

Cite this